In this paper we consider a multi-dimensional wave equation with dynamic boundary conditions, related to the KelvinVoigt damping. Global existence and asymptotic stability of solutions starting in a stable set are proved. Blow up for solutions of the problem with linear dynamic boundary conditions with initial data in the unstable set is also obtained. © 2011 Elsevier Ltd. All rights reserved.
|Original language||English (US)|
|Number of pages||14|
|Journal||Nonlinear Analysis: Theory, Methods & Applications|
|State||Published - Dec 2011|
ASJC Scopus subject areas
- Applied Mathematics